What is 30/8 Simplified to Simplest Form?

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What is 30/8 Simplified?

Answer: Fraction 30/8 simplified to lowest terms is 15/4

30

/

8

=

15

/

4

15/4 is the simplified fraction of 30/8.

Since the numerator [30] is greater than the denominator [8] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15

/

4

=3

3

/

4

Simplifying Fraction 30/8 using GCF

The first way to simplify the fraction 30/8 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [8].

GCF of 30 and 8 is 2

And then divide both the numerator [30] and denominator [8] by the GCF [2].

30 ÷ 2

/

8 ÷ 2

=

15

/

4

Simplifying Fraction 30/8 using Prime Factors

Another method to reduce the fraction 30/8 to its simplest form is to use the Prime Factors of numerator [30] and denominator [8].

Prime Factors of 30: 2,3,5

Prime Factors of 8: 2,2,2

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 3 × 5

/

2 × 2 × 2

=

15

/

4

Simplifying Fraction 30/8 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [8] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

30 ÷ 2

/

8 ÷ 2

=

15

/

4

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Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 30/8 Simplified? (The answer is: 15/4). Enter the fraction (numerator and denominator) (e.g. '30/8') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/8) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

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Fraction Simplification Table

Fraction	Lowest Terms
30/1	30/1
30/2	15/1
30/3	10/1
30/4	15/2
30/5	6/1
30/6	5/1
30/7	30/7
30/8	15/4
30/9	10/3
30/10	3/1
30/11	30/11
30/12	5/2
30/13	30/13
30/14	15/7
30/15	2/1
30/16	15/8
30/17	30/17
30/18	5/3
30/19	30/19
30/20	3/2
30/21	10/7
30/22	15/11
30/23	30/23
30/24	5/4
30/25	6/5
30/26	15/13
30/27	10/9
30/28	15/14
30/29	30/29
30/30	1/1

30/8 Simplified

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